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Efficient quantum arithmetic circuits are commonly found in numerous quantum algorithms of practical significance.
Conditional-Sum Addition Logic
J. Sklansky. 1960 · 1960
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High Speed Binary Parallel Adder
Huei Ling. 1966 · 1966
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A Parallel Algorithm for the Efficient Solution of a General Class of Recurrence Equations
Peter M. Kogge and Harold S. Stone. 1973 · 1973
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A Regular Layout for Parallel Adders
Richard Brent and Hsiang Kung. 2004 · 1982
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Algorithms for Quantum Computation: Discrete Logarithms and Factoring
Peter Shor. 1996 · 1994
Earlier work this paper cites.
Quantum Networks for Elementary Arithmetic Operations
Vlatko Vedral, Adriano Barenco, and Artur Ekert. 1995 · 1995
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A new quantum ripple-carry addition circuit
Steven A. Cuccaro, Thomas G. Draper, Samuel A. Kutin, and David Petrie Moulton. 2004 · 2004
Cited alongside, same era.
A logarithmic-depth quantum carry-lookahead adder
Thomas Draper, Samuel Kutin, Eric Rains, and Krysta Svore. 2004 · 2004
Cited alongside, same era.
A fast quantum circuit for addition with few qubits
Yasuhiro Takahashi and Noboru Kunihiro. 2008 · 2008
Cited alongside, same era.
Quantum Addition Circuits and Unbounded Fan-Out
Yasuhiro Takahashi, Seiichiro Tani, and Noboru Kunihiro. 2009 · 2009
Cited alongside, same era.
Improved quantum ripple-carry addition circuit
Feng Wang, Mingxing Luo, Huiran Li, Zhiguo Qu, and Xiaojun Wang. 2016 · 2016
Cited alongside, same era.
Binary Adder Circuits of Asymptotically Minimum Depth, Linear Size, and Fan-Out Two
Stephan Held and Sophie Theresa Spirkl. 2017 · 2017
Cited alongside, same era.
Halving the cost of quantum addition
Craig Gidney. 2018 · 2018
Later among the works it cites.
T-Count Optimized Wallace Tree Integer Multiplier for Quantum Computing
Gayathri S S, R. Kumar, Dhanalakshmi Samiappan, Brajesh Kumar Kaushik, and Majid Haghparast. 2021 · 2021
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Optimized Quantum Circuit Implementation of Payoff Function. 1–6
Sejin Lim, Hyunjun Kim, Kyungbae Jang, Siyi Wang, Anubhab Baksi, Anupam Chattopadhyay, and Hwajeong Seo. 2023 · 2023
Later among the works it cites.
A Higher Radix Architecture for Quantum Carry-lookahead Adder
Siyi Wang, Anubhab Baksi, and Anupam Chattopadhyay. 2023 · 2023
Later among the works it cites.
Reducing Depth of Quantum Adder using Ling Structure. In VLSI-SoC
Siyi Wang and Anupam Chattopadhyay. 2023 · 2023
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Boosting the Efficiency of Quantum Divider through Effective Design Space Exploration
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Siyi Wang, Eugene Lim, and Anupam Chattopadhyay. 2024 · 2024
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